document.write( "Question 712236: Use the method of elimintion to solve system\r
\n" ); document.write( "\n" ); document.write( "2x+y+3z=30
\n" ); document.write( "4x-3y+6z=50
\n" ); document.write( "x+y-2z=30
\n" ); document.write( "

Algebra.Com's Answer #437816 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Use the method of elimintion to solve system
\n" ); document.write( "2x+y+3z=30
\n" ); document.write( "4x-3y+6z=50
\n" ); document.write( "x+y-2z=30\r
\n" ); document.write( "\n" ); document.write( "------
\n" ); document.write( "List the 3rd equation 1st:
\n" ); document.write( "x+y-2z=30
\n" ); document.write( "2x+y+3z=30
\n" ); document.write( "4x-3y+6z=50
\n" ); document.write( "------
\n" ); document.write( "Subtract 2 times the 1st from the 2nd
\n" ); document.write( "Subtract 4 times the 1st from the 3rd
\n" ); document.write( "-------
\n" ); document.write( "x+y-2z=30
\n" ); document.write( "0-y+7z=-30
\n" ); document.write( "0-7y+14z=-70
\n" ); document.write( "--------
\n" ); document.write( "Subtract 7 times the 2nd to the 3rd:
\n" ); document.write( "x + y - 2z = 30
\n" ); document.write( "0 - y + 7z = -30
\n" ); document.write( "0 + 0 -35z = 140
\n" ); document.write( "--------
\n" ); document.write( "Divide both sides by -35 to get:
\n" ); document.write( "x + y - 2z = 30
\n" ); document.write( "0 - y + 7z = -30
\n" ); document.write( "0 + 0 + z = -4
\n" ); document.write( "------
\n" ); document.write( "Solve the 2nd equation for \"y\":
\n" ); document.write( "-y -28 = -30
\n" ); document.write( "y = 2
\n" ); document.write( "-----
\n" ); document.write( "Solve the 1st equation for \"x\":
\n" ); document.write( "x + 2 + 8 = 30
\n" ); document.write( "x = 20
\n" ); document.write( "----
\n" ); document.write( "solution: x = 20; y = 2; z = -4
\n" ); document.write( "====================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H,\r
\n" ); document.write( "\n" ); document.write( "--------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );